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Finding the Fourth Proportional to 273,872.30, 410,002.05 and 204,061.10

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Solution

The fourth proportional to 273,872.30, 410,002.05 and 204,061.10 is: 305,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,872.30 : 410,002.05 = 204,061.10 : x
  2. Step 2: Convert to fraction form
    273,872.30/410,002.05 = 204,061.10/x
  3. Step 3: Cross multiply
    273,872.30x = 410,002.05 × 204,061.10
  4. Step 4: Simplify right side
    273,872.30x = 83,665,469,325.26
  5. Step 5: Solve for x
    x = 83,665,469,325.26/273,872.30
  6. Step 6: Final answer
    x = 305,490.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.